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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 277725f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277725.f1 | 277725f1 | \([0, -1, 1, -1274008, 646303668]\) | \(-98867482624/20696067\) | \(-47871260580446296875\) | \([]\) | \(12672000\) | \(2.4980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277725f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277725f do not have complex multiplication.Modular form 277725.2.a.f
sage: E.q_eigenform(10)